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1. Complex algebra problems. You can check your answer with Matlab: real, imag, abs, angle phase,...

1. Complex algebra problems. You can check your answer with Matlab: real, imag, abs, angle phase, conj. You are given: A = 1+2j ; B = 2+1j

a. Find A*B, A/B, A^2 abs(A) and abs(B). Answers should be simplified in (a+bj) form.

b. B in polar form (i.e. magnitude and angle in degree)

c. Find exp(A) in polar and rectangular form. Hint use Euler formula.

2. Matrix operation problems. Use Matlab: A = [1 2 3; 4 5 6; 7 8 9], B = [1 1; 2 2; 3 3], C = [A B], D = zeros(3) and E = eye(3).

a. Find A*B, A*C, A*E, and A. *E (Notice " .* " operator)

b. Find inv(A)

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